Mirrors of 3d Sicilian theories
Francesco Benini, Yuji Tachikawa, and Dan Xie
TL;DR
This paper explores the mirror symmetry of 3d N=4 Sicilian theories derived from 6d theories compactified on punctured Riemann surfaces, revealing star-shaped quiver gauge theories as their mirrors and connecting to 4d S-duality.
Contribution
It introduces a new class of 3d N=4 Sicilian theories from 6d compactifications and identifies their mirror theories as star-shaped quivers, also relating them to 4d N=4 SYM on graphs.
Findings
Mirror theories are star-shaped quiver gauge theories.
Alternative construction via 4d N=4 SYM on a graph.
Mirror symmetry derived from 6d and 4d S-duality.
Abstract
We consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d N=4 Sicilian theories, and we find that their mirror theories are star-shaped quiver gauge theories. We also discuss an alternative construction of these 3d theories through 4d N=4 SYM on a graph, which allows us to obtain the 3d mirror via 4d S-duality.
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